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Some Results on Polynomial Systems

March 2002

This page shows results from a continuing project on polyhedral continuation methods for computing all isolated solutions of polynomial systems with Yang Dai, Katsuki Fujisawa, Takayuki Gunji, Sunyoung Kim, Masakazu Kojima, Tomohiko Mizutani and Akiko Takeda.

• A. Takeda, M. Kojima and K. Fujisawa ``Enumeration of All Solutions of a Combinatorial Linear Inequality System Arising from the Polyhedral Homotopy Continuation Method'', Journal of the Operations Research Society of Japan Vol.45, No.1, 64-82 (2002).
• Y. Dai, S. Kim and M. Kojima ``Computing All Nonsingular Solutions of Cyclic-n Polynomial Using Polyhedral Homotopy Continuation Methods'', September 2001. Revised November 2001.
• Solution Information on Some Polynomial Systems (Cyclic-n Polynomial, Economic Polynomial)
• S. Kim and M. Kojima ``CMPSm : Continuation Methods for Polynomial Systems (MATLAB Version)''
• S. Kim and M. Kojima ``CMPSc : Continuation Methods for Polynomial Systems (C++ Version)''
• Preliminary Version of StartSystem

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